A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers. She had 35 prescriptions altogether. How many did she have for tranquilizers?
Answer:
She had 14 prescriptions for tranquilizers.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of prescriptions she had for antibiotics.
y is the number of prescriptions she had for tranquilizers.
A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.
This means that:
[tex]\frac{x}{y} = \frac{3}{2}[/tex]
[tex]x = \frac{3y}{2}[/tex]
She had 35 prescriptions altogether.
This means that:
[tex]x + y = 35[/tex]
How many did she have for tranquilizers?
We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.
[tex]x + y = 35[/tex]
[tex]\frac{3y}{2} + y = 35[/tex]
Multiplying everything by 2
[tex]3y + 2y = 70[/tex]
[tex]5y = 70[/tex]
[tex]y = \frac{70}{5}[/tex]
[tex]y = 14[/tex]
She had 14 prescriptions for tranquilizers.
Please help me asap please
A baker made two cakes of the same size.
Pls help extra points and mark brainlist
Step-by-step explanation:
I'm not sure but I think there are 2 terms!
Which function has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g (x) = StartRoot x minus 3 EndRoot minus 8
g (x) = StartRoot x minus 3 EndRoot + 8
g (x) = negative StartRoot x + 3 EndRoot + 8
g (x) = negative StartRoot x minus 3 EndRoot minus 8
Answer:
it is c
Step-by-step explanation:
Based on the information given regarding the function, the correct option is C. g (x) = negative StartRoot x + 3 EndRoot + 8.
Interpretation of the function.It should be noted that a function simply means the relation from a set of inputs to a set of possible outputs.
In this case, the function that has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8 will be g (x) = negative StartRoot x + 3 EndRoot + 8.
Learn more about functions on:
https://brainly.com/question/10439235
Use 3.14 for Pi. *Answer choices may be rounded.* 5 points 1. 15 cm 7.5 cm 176.6 706.5 1324.7 5298.8
Answer:
C. 1324.7 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
π = 3.14
radius (r) = ½ of 15 = 7.5 cm
Height (h) = 7.5 cm
Plug in the values
Volume = 3.14*7.5²*7.5 = 1324.7 cm³
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer: It depends on how many times Tyrell wants to reserve the court. Sorry but there's not enough info to solve rn
Hope this helps! <3
Find the simple interest on a P10500 loan at 20% for two years. (show
your process to get two points)
DO
D12
Dan
Answer:
P4200
Step-by-step explanation:
SI=PRT/100
P=Principal which is P10500
R=Rate which is 20%
T=Time which is 2 years
So SI= 10500×20×2/100
=P4200
Use the function g () = 5x – 2 to complete the table.
-4
-7
0
23
38
How do I get the answer?
Answer:
Step-by-step explanation:
You are given the equation g(x)=5x-2. You simply take the values given and put those values into the equation.
g(-4)=5(-4)-2=-20-2=-22
g(-7)=5(-7)-2=-35-2=-37
g(0)=5(0)-2=-2
g(23)=5(23)-2=115-2=113
g(38)=5(38)-2=190-2=188
when x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9
Answer:
First i always use khan academy
Step-by-step explanation:
twice the difference of a number and 8 is equal to three times the sum of the number and 8. find the number
Answer:
-24
Step-by-step explanation:
2(x-8)=3x+3
2x-16+16=3x+8+16
2x=3x+24
2x-3x=3x+24-3x
-x=24
x=-24
help plz plz plz plz i need this
Answer:
n-5
Step-by-step explanation:
At the Movie theater, the Hu family spend $22.00 for two adult tickets and three children's tickets. Sheila Clark spent $18.50 for one adult and four child's tickets. How much did each ticket cost?
Answer:
Your answer.
Adult ticket : 6.5
Child ticket: 3
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 300 miles in 6 hours, and the truck traveled 200 miles in 4 hours, who is on pace to reach the destination first?
they will reach at the same time.
Step-by-step explanation:
first we need to find out total Miles covered by bus and truck per hour,
so,
300÷6=50 miles per hour
200÷4=50 miles per hour
so they both will reach at the same time.
hope this will help you
thanx a lot
11 2/8 - 5 1/2 • 1 2/3 + 1 1/4
Answer:
[tex]3\frac{1}{3} = \frac{10}{3} = 3.333333333[/tex]
Step-by-step explanation:
Hope this helps.
32:3
What is 32 divided by 3
Answer:
11 1\3
Step-by-step explanation:
32÷3=11.33333333333333333333
Please will give brainliest and thanks for the problem
Answer:
y = -¼x + (-6)
Step-by-step explanation:
I was summoned?
If Mrs. Maiers buys 24 stickers, is the cost of each sticker more then or less then 0.50
is 3/12 less than or greater than or equal 3/4?
Answer:
3/12 is less than 3/4
Step-by-step explanation:
3/12 is the same as 1/4, which is 0.25
3/4 is 0.75
Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram' s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?
Answer:
First, we start with:
"Ram obtains 40% of the marks in a paper of 200 marks"
In this case, 200 marks represent the 100%
Then how much is the 40%?
we have the relations:
40% = X
100% = 200 marks
Now we can take the quotient of both equations:
(40%/100%) = X/200marks
(40%/100%)*200marks = X = 80 marks
So Ram obtained 80 marks.
Now we have:
"Shyam is ahead of Ram by 25% of Ram's marks"
Now the 100% is the number of marks that Ram has, this is:
100% = 80 marks
And Shyam has 25% more than that, then we have:
125% = X
Same as before, we take the quotient of both equations:
(125%/100%) = X/80 marks
1.25*80 marks = 100 marks.
Shyam has 100 marks.
The last part is (this is not written correctly, it says "one month", it should be "one-ninth")
"while Bhuvan is ahead of Shyam by one-ninth of his own marks."
if his own marks are X, we have the equation
X = 100 + (1/9)*X
X - 1/9*X = 100
X*(8/9) = 100
X = (9/8)*100 = 112.5
So Bhuvan has 112.5 marks
What's cheaper, paying $20 or 20% off of $30?
NEED HELP!!
Answer:
$20 is cheaper :) (20% off of $30 would be $24!)
Professor Rosencrantz flips a fair coin twice. Professor Guildenstern flips a fair coin thrice. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern
Michael and his family
brought some logs of
firewood with them on
their camping trip. The
first night, they burned
2 logs in the fire. The
second night, they
burned 3 logs in the
fire.
how to represent with an integer mary moves 3 steps backward as she dances
Answer:
-3
Step-by-step explanation:
As she moves back, so it will be negative.
Since she moves back 3 steps, it will be -3.
Hope it helps :)
Please mark my answer as the berainliest
Answer:
-3
itwaseasy...............
Your teacher is giving a 150 point test. There are a total of 46 3-point questions and 5-point questions. How many of each are on the test
Answer:
Let x be the number of 3-point questions.
Let y be the number of 5 point questions.
Select the correct answer. Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
Answer:
Step-by-step explanation:
A sheet of standard U.S. typing paper measures 8.50 in by 11 in. What is its area in square centimeters? (Area =L x W)
Answer:
the area would be 935cm
Step-by-step explanation:
ty for reading :P
603.2246 square centimeters.
Suppose there is a simple index of three stocks, stock X, stock Y, and stock Z.
Stock X opens the day with 5000 shares at $4.30 per share. Stock Y opens
the day with 2000 shares at $3.20 per share. Stock Z opens the day with 8000
shares at $4.90 per share. This simple index rises 4.9% over the course of the
day. What is the value of the index at the end of the day? Round your answer
to the nearest hundred.
A. $68,700
B. $67,100
C. $70,400
D. $68,300
Answer:
C
Step-by-step explanation:
so the first one ends at 4.7107
the second- 3.3568
the third- 5.1401
and multiplying the first by 5000 we get- 23,553.5
for the second we get -6,713.6
for the third we get 41,120
adding them all together we get 71,387.1
and so C is the closest
The value of the index at the end of the day should be considered as the $70,400.
Calculation of the value of the index:Since
Stock X opens the day with 5000 shares at $4.30 per share.
Stock Y opens the day with 2000 shares at $3.20 per share.
Stock Z opens the day with 8000 shares at $4.90 per share.
This simple index rises 4.9% over the course of the day.
So ,
[tex]= (5,000 \times \$3.4) + (2,000 \times \$3.20) + (8,000 \times $4.90) * 1.0.49[/tex]
= $70,400
hence, The value of the index at the end of the day should be considered as the $70,400.
Learn more about stock here: https://brainly.com/question/24636535
A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped into a container of boiling water (100oC). If the temperature of the sphere increases 10o in 9 seconds, find the temperature of the ball after 18 seconds in the boiling water. (Assume the sphere obeys Newton's Law of Cooling.)
Answer:
38.71°C
Step-by-step explanation:
Given :
Initial temp, T0 = 20°C
Final temperature, T = 20 + 10 = 30°C
Time, t = 9 seconds
Surrounding temperature, Ts = 100°C
Newton's Law of cooling :
T = Ts + (T0 - Ts) * e^-kt
Obtain the value of k
30 = 100 + (20 - 100) * e^-9k
30 - 100 = - 80e^-9k
-70 = - 80e^-9k
-70 / - 80 = e^-9k
0.875 = e^-9k
Take the In of both sides
In(0.875) = - 9k
−0.133531 = - 9k
k = 0.133531 / 9
k = 0.0148
Hence,
t = 18
T = Ts + (T0 - Ts) * e^-kt
T = 100 + (20 - 100) * e^-0.0148(18)
T = 100 - 80 * e^-0.0148(18)
T = 100 - 80 * 0.7661326
T = 38.709392
T = 38.71°C
Help me please and thank you!!!!!
Answer:
D-y=-3x+5
Step-by-step explanation:
Slope is -3x and y intercept is positive 5
Answer:
Step-by-step explanation:
y - 2 = -3(x - 1)
y - 2 = -3x + 3
y = -3x + 5
answer is D